Answer: principal value = $500 and rate of interest = 4%.
Step-by-step explanation:
Let P = Principal value, r= rate of interest, t= time.
Formula for simple interest:
Interest = P x r x t
Final amount = P+ interest
= P+Prt
= P(1+rt)
Simple interest amounts to $560 in 3 years.
⇒ 560= P(1+3r)
[tex]\Rightarrow\ P=\dfrac{560}{1+3r}[/tex] (i)
Simple interest amounts to $600 in 5 years.
⇒ 600= P(1+5r)
[tex]\Rightarrow\ P=\dfrac{600}{1+5r}[/tex] (ii)
From (i) and (ii) , we get
[tex]\dfrac{560}{1+3r}=\dfrac{600}{1+5r}\\\\\Rightarrow\ 560(1+5r)=600(1+3)\\\\\Rightarrow\ 560+2800r=600+1800r\\\\\Rightarrow\ 2800r-1800r=600-560\\\\\Rightarrow\ 1000r=40\\\\\Rightarrow\ r=\dfrac{40}{1000}\\\\\Rightarrow\ r= 0.04= 4\%[/tex]
Put r= 0.04 in (ii), we get
[tex]P=\dfrac{600}{1+5(0.04)}\\\\=\dfrac{600}{1+0.2}\\\\=\dfrac{600}{1.2}\\\\=500[/tex]
Hence, principal value = $500 and rate of interest = 4%.
What is the slope of the line that passes through the points (-3, -9)(−3,−9) and (22, -4) ?(22,−4)? Write your answer in simplest form.
Answer:
1/5
Step-by-step explanation:
Equation: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Points: (-3, -9) and (22, -4)
[tex]y_{2}[/tex] is the second y point that shows up on the question, basically go by order. So it's -4
[tex]y_{1}[/tex] is -9, because again, in order of which coordinates pop-up first in the question
[tex]x_{2}[/tex] is 22, [tex]x_{1}[/tex] is -3
Now input into the equation, to make it easier we'll split the fraction into 2 equations:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] = [tex]y_{2} - y_{1}[/tex] and [tex]x_{2} - x_{1}[/tex], we'll put them back in a fraction later
[tex]y_{2} - y_{1}[/tex] = -4 - (-9) = -4 + 9 = 5
[tex]x_{2} - x_{1}[/tex] = 22 - (-3) = 22 + 3 = 25
now put it in the fraction, remember y on top x on the bottom:
5/25, simplify, 1/5
Juanita constructed a number line to test her brother’s understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A.
Which represents the opposite of Point A?
Negative (negative 10)
Negative (negative 5)
0
Negative (10)
Answer:
-(10)
Step-by-step explanation:
Answer:
negative (negative 10) is the answer.
Step-by-step explanation:
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.
Answer:62% Step-by-step explanation:
What is the domain of the relation shown?
will mark as branliest
Answer:
2 or 4
Step-by-step explanation:
Which pair shows equivalent expressions?
Help quick please!
Answer:
i think A
Step-by-step explanation:
39.4 x 1.7 I don’t how workout this out
Answer:the answer is 66.98
Step-by-step explanation:
Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Kyoko wants to determine if she’ll have enough time to finish the book before she has to go to bed.
Answer:
It will take her 3 hours and 120 pages
Step-by-step explanation:
It was on edge pls mark brainliest
Answer:
b
Step-by-step explanation:
There are 42 boys and 48 girls in sixth grade and each student must be assigned a home room. Each homeroom should have the same number of boys and the same number of girls.
what is thegreatest possible number of sixth grade students?
Answer:
50
Step-by-step explanation:
you add 42 and 48 i think
A .14kg baseball is dropped from rest. It has a momentum of .78kg x m/s just before it lands on the ground. For what amount of time was the ball in the air?
Answer
what r the options? a b c d?????
i wuld say it is 2.5
Step-by-step explanation:
What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x
There are49 students on a tour.Each guide can take 5 students.How many guides are needed?Explain.
What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3
Answer:
Step-by-step explanation:
the formula for Volume of the sphere is
V=4/3 * π*r^3
diameter =4, r=2
V=4/3 * 3.14 * 8=33.49
plz help me on this final i beg of u!!!
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
Its asking for how long did she watch for both videos.
[tex] \frac{3}{8} + \frac{1}{8} = \frac{4}{8} [/tex]
4/8 is half. so simplest form would be
[tex] \frac{1}{2} [/tex]
Answer:
1/2 minutes
Step-by-step explanation:
you add the two fractions together and because they have a common denominator you just add across.
1/8+3/8=4/8
now we simplify
the numerator and denominator can both be divided by 4.
4÷4=1
8÷4=2
1/2
If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
what is the solution of sqaure root -4x = 100
Answer:
I’m pretty sure it’s -2500
Step-by-step explanation:
Answer:
I think it would be x = -2500
Step-by-step explanation:
You square both sides to get rid of the square root and get -4x = 10000 then divide 10000 by -4 to get -2500
How do you write this in a expression?please answer quick (take away a number n from 24)
Answer:
24-n
Step-by-step explanation: hope this helps if it does pls give brainliest tysm!
Answer:
24-n
Step-by-step explanation: we taking away so that is substraction.
100 points! hard problem!
Answer:never gonna give you up
Step-by-step explanation:by rick astley
"you wouldnt get this from any other guy and i just wanna ask you how your feeling, gotta make you underatnd, never gonna give you up, never gonna let you down."
nEvEr gOnnA giVe U uP
Which statement(s) most directly apply to capitalism?
1. There is heavy government regulation of industry.
II. Individuals can start some, but not all, kinds of enterprises.
III. The price and availability of goods is determined primarily by the market.
a. I and II
b. ll only
c. I and III
d. Ill only
Answer:
The answer is D, lll only.
Step-by-step explanation:
Just took the test on e d g e!
The statement that most directly applies to capitalism is III only.
Option D is the correct answer.
What is capitalism?It is a system of the economy where means of production and distribution are owned by the private, not the government.
We have,
The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.
Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.
On the other hand,
Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.
Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.
Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.
In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.
Therefore,
The statement that most directly applies to capitalism is III only.
Learn more about capitalism here:
https://brainly.com/question/28144254
#SPJ7
Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error?
Answer:
If Tim actually earned 62 points . Therefore Tim's percent error is 58.1 % .
Step-by-step explanation:
Write an equation for the line that passes through (2,-1) and is parallel to the line y= 3x+8?
Answer:
y= 3x + 5
Step-by-step explanation:
If it is parallel it has the same slop so we know mx = 3x
then solve for b
-1 = 3(2) + b
-1 = 6 + b
5 = b
The age of a car and the value of the car
O Positive Correlation
O Negative correlation
Three people take 90 minutes to water a garden. How many minutes would six people take?
Answer:
45
Step-by-step explanation:
it will take 45 minutes for 6 people to water a garden
Answer:GIVEN
Three people take 90 minutes to water a garden.
TO DETERMINE
The time (minutes) taken by six people to complete the work
EVALUATION
SOLVE USING RULES OF THREE
Now if the Number of people increases then the time take taken will decreases
Here the number of people and Time taken are in inverse proportion
So the time required
FINAL ANSWER
The required time = 45 minutes
Step-by-step explanation:
Will mark the brainliest
Answer:
C.
X = -5
Step-by-step explanation:
An online camping supplies outlet charges $14 for a canteen,
and shipping is $2 per order.
Part A
Write an expression that CJ can use to find the total cost in
dollars for ordering n canteens.
Part B
CJ orders 2 canteens and his friend Cameron orders 4 canteens.
What is the total cost, including shipping, for both orders?
Show your work.
Answer:
Part A: 14x + 2
Part B: CJ's order is $30, and Cameron's order is $58.
Step-by-step explanation:
Part A: The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.
Part B:
CJ's Order:
14(2) + 2 =
28 + 2
$30
Cameron's Order:
14(4) + 2 =
56 + 2 =
$58
Hope this helps! :D
What is the best name of the line?
If I say I’m sick on Tuesday at 8pm and they say I have 72 hours till I can work again and I work at 12 am what time and what day will I work on?
Answer:
Saturday
Step-by-step explanation:
I think
Please Help These Are All My Points.
Which algebraic expression is equivalent to the expression below?
--------------------------
(4n + 14) + (6 + 7n)
--------------------------
A. 24n + 7
B. 10n + 21
C. 18n + 13
D. 11n + 20
Answer:
D
Step-by-step explanation:
Combine like terms 4n can only be added with 7n and 14 can only be added to 6
Answer:
11n + 20
Step-by-step explanation:
Because all of the signs are + , the parentheses can be removed.
Next, combine like terms:
4n + 14 + 6 + 7n = 11n + 20
None of the three given possible answers is correct.
Identify the GCF of 36 and 24
6
12
2
8
Answer:
12...you already figured it out but alr
Step-by-step explanation:
Choose all that apply!!
Answer:
B and D. I think
